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Finding the Fourth Proportional to 206,480.97, 309,750.26 and 66,282.57

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Solution

The fourth proportional to 206,480.97, 309,750.26 and 66,282.57 is: 99,433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,480.97 : 309,750.26 = 66,282.57 : x
  2. Step 2: Convert to fraction form
    206,480.97/309,750.26 = 66,282.57/x
  3. Step 3: Cross multiply
    206,480.97x = 309,750.26 × 66,282.57
  4. Step 4: Simplify right side
    206,480.97x = 20,531,042,959.56
  5. Step 5: Solve for x
    x = 20,531,042,959.56/206,480.97
  6. Step 6: Final answer
    x = 99,433.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.